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Exact penalization via Dini and Hadamard conditional derivatives. (English) Zbl 0903.90149

Summary: Exact penalty functions for nonsmooth constrained optimization problems are analyzed by using the notion of (Dini) Hadamard directional derivative with respect to the constraint set. Weak conditions are given guaranteeing equivalence of the sets of stationary, global minimum, local minimum points of the constrained problem and of the penalty function.

MSC:

90C30 Nonlinear programming
49J52 Nonsmooth analysis
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